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Finding the Fourth Proportional to 3,461.79, 5,193.57 and 996.80

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Solution

The fourth proportional to 3,461.79, 5,193.57 and 996.80 is: 1,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.79 : 5,193.57 = 996.80 : x
  2. Step 2: Convert to fraction form
    3,461.79/5,193.57 = 996.80/x
  3. Step 3: Cross multiply
    3,461.79x = 5,193.57 × 996.80
  4. Step 4: Simplify right side
    3,461.79x = 5,176,924.61
  5. Step 5: Solve for x
    x = 5,176,924.61/3,461.79
  6. Step 6: Final answer
    x = 1,495.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.